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22155535368 = 233456960089
BaseRepresentation
bin10100101000100100…
…101010010000001000
32010012001112210220000
4110220210222100020
5330333304112433
614102250003000
71413014641401
oct245044522010
963161483800
1022155535368
11943a24970a
124363a16460
13212113b555
1411026aa9a8
1589a103113
hex52892a408

22155535368 has 80 divisors (see below), whose sum is σ = 62166109500. Its totient is φ = 7372076544.

The previous prime is 22155535327. The next prime is 22155535373. The reversal of 22155535368 is 86353555122.

22155535368 is a `hidden beast` number, since 2 + 2 + 1 + 55 + 535 + 3 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21473385444 + 682149924 = 146538^2 + 26118^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 338668 + ... + 398756.

Almost surely, 222155535368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22155535368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31083054750).

22155535368 is an abundant number, since it is smaller than the sum of its proper divisors (40010574132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22155535368 is a wasteful number, since it uses less digits than its factorization.

22155535368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60676 (or 60663 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 45.

The spelling of 22155535368 in words is "twenty-two billion, one hundred fifty-five million, five hundred thirty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 569 648 1138 1707 2276 3414 4552 5121 6828 10242 13656 15363 20484 30726 40968 46089 60089 61452 92178 120178 122904 180267 184356 240356 360534 368712 480712 540801 721068 1081602 1442136 1622403 2163204 3244806 4326408 4867209 6489612 9734418 12979224 19468836 34190641 38937672 68381282 102571923 136762564 205143846 273525128 307715769 410287692 615431538 820575384 923147307 1230863076 1846294614 2461726152 2769441921 3692589228 5538883842 7385178456 11077767684 22155535368